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Finding the Fourth Proportional to 6,156.39, 9,224.10 and 4,177.76

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Solution

The fourth proportional to 6,156.39, 9,224.10 and 4,177.76 is: 6,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.39 : 9,224.10 = 4,177.76 : x
  2. Step 2: Convert to fraction form
    6,156.39/9,224.10 = 4,177.76/x
  3. Step 3: Cross multiply
    6,156.39x = 9,224.10 × 4,177.76
  4. Step 4: Simplify right side
    6,156.39x = 38,536,029.90
  5. Step 5: Solve for x
    x = 38,536,029.90/6,156.39
  6. Step 6: Final answer
    x = 6,259.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.